<TeXmacs|1.99.4>

<style|<tuple|generic|chinese>>

<\body>
  <doc-data|<doc-title|2017-02-01-01>>

  <section|\<#9898\>\<#76EE\>>

  \<#53D1\>\<#9898\>\<#4EBA\>\<#FF1A\> \<#8499\>E\<#6559\>\<#5E08\>1234

  \<#53D1\>\<#9898\>\<#65E5\>\<#671F\>: 2017-02-08

  \<#5DF2\>\<#77E5\>\<#4E09\>\<#89D2\>\<#5F62\><math|A B C
  >\<#4E09\>\<#8FB9\>\<#957F\>\<#4E3A\><math|A B=2<sqrt|a<rsup|2>+576>>,
  <math|B C=<sqrt|a<rsup|2>+14a+625>>\<#FF0C\> <math|C
  A=<sqrt|a<rsup|2>-14a+625>>\<#FF0C\>\<#6C42\>

  \<#8BE5\>\<#4E09\>\<#89D2\>\<#5F62\>\<#9762\>\<#79EF\>\<#3002\>

  <section|\<#89E3\>\<#7B54\>>

  \<#89E3\>\<#7B54\>\<#8005\>: \<#6218\>\<#5DE1\>\<#FF0C\>\<#9102\>M\<#6559\>\<#5E08\>\<#8BB8\>,
  \<#5DDD\>A\<#7231\>\<#597D\>\<#8005\>zhcosin

  \<#89E3\>\<#7B54\>\<#65E5\>\<#671F\>: 2017-02-08

  \<#6CE8\>\<#610F\>\<#5230\>\<#6709\>\<#5982\>\<#4E0B\>\<#7684\>\<#52FE\>\<#80A1\>\<#5E73\>\<#65B9\>\<#5F0F\>:

  <\equation*>
    A B=2<sqrt|a<rsup|2>+24<rsup|2>>,B C=<sqrt|<around*|(|a-7|)><rsup|2>+24<rsup|2>>,C
    A=<sqrt|<around*|(|a+7|)><rsup|2>+24<rsup|2>>
  </equation*>

  \<#4E8E\>\<#662F\>\<#6784\>\<#9020\>\<#51E0\>\<#4F55\>\<#56FE\>\<#5F62\><math|A<around*|(|a,24|)>,B<around*|(|-a,-24|)>,C<around*|(|-7,0|)>>,\<#5982\>\<#4E0B\>\<#56FE\>\<#FF0C\>\<#800C\>\<#4E0A\>\<#4E0B\>\<#4E24\>\<#4E2A\>\<#5C0F\>\<#4E09\>\<#89D2\>\<#5F62\>\<#7684\>\<#9762\>\<#79EF\>\<#90FD\>\<#662F\><math|<frac|1|2>\<times\>7\<times\>24=84>\<#FF0C\>\<#6240\>\<#4EE5\>\<#6240\>\<#6C42\>\<#9762\>\<#79EF\>\<#4E3A\>168.<center|>

  \;

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  \<#53E6\>\<#5916\>\<#4E5F\>\<#53EF\>\<#4EE5\>\<#76F4\>\<#63A5\>\<#5229\>\<#7528\>\<#9762\>\<#79EF\>\<#516C\>\<#5F0F\><math|S=<frac|1|2><sqrt|a<rsup|2>b<rsup|2>-<frac|1|4><around*|(|a<rsup|2>+b<rsup|2>-c<rsup|2>|)>>>\<#FF0C\>\<#90FD\>\<#662F\>\<#5E73\>\<#65B9\>\<#FF0C\>\<#6839\>\<#53F7\>\<#6B63\>\<#597D\>\<#6D88\>\<#6389\>\<#FF0C\>\<#8BA1\>\<#7B97\>\<#91CF\>\<#4E5F\>\<#4E0D\>\<#5927\>\<#3002\>
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